scholarly journals ALE Ricci-flat Kähler metrics and deformations of quotient surface singularities

2011 ◽  
Vol 41 (1) ◽  
pp. 109-123 ◽  
Author(s):  
Ioana Şuvaina
Keyword(s):  
Kähler Metrics ◽  
Kahler Metrics ◽  
Ricci Flat ◽  
Quotient Surface ◽  
Surface Singularities

scholarly journals Existence of complete Kähler Ricci-flat metrics on crepant resolutions

2014 ◽  
Vol 16 (03) ◽  
pp. 1450003 ◽  
Author(s):  
Bianca Santoro
Keyword(s):  
Asymptotic Behavior ◽  
Existence Results ◽  
Kähler Metrics ◽  
Asymptotically Flat ◽  
Kahler Metrics ◽  
Ricci Flat ◽  
Crepant Resolutions ◽  
Flat Metric

In this note, we obtain existence results for complete Ricci-flat Kähler metrics on crepant resolutions of singularities of Calabi–Yau varieties. Furthermore, for certain asymptotically flat Calabi–Yau varieties, we show that the Ricci-flat metric on the resolved manifold has the same asymptotic behavior as the initial variety.

scholarly journals On asymptotics of complete Ricci-flat Kähler metrics on open manifolds

2010 ◽  
Vol 132 (3-4) ◽  
pp. 431-462
Author(s):  
Bert Koehler ◽  
Marco Kühnel
Keyword(s):  
Kähler Metrics ◽  
Kahler Metrics ◽  
Open Manifolds ◽  
Ricci Flat

scholarly journals Ricci-flat Kähler metrics on canonical bundles

2002 ◽  
Vol 132 (3) ◽  
pp. 471-479 ◽  
Author(s):  
ROGER BIELAWSKI
Keyword(s):  
Kähler Manifold ◽  
Zero Section ◽  
Canonical Bundle ◽  
Kähler Metrics ◽  
Kähler Metric ◽  
Kahler Metrics ◽  
Ricci Flat ◽  
Kahler Manifold ◽  
Real Analytic ◽  
Kahler Metric

We prove the existence of a (unique) S1-invariant Ricci-flat Kähler metric on a neighbourhood of the zero section in the canonical bundle of a real-analytic Kähler manifold X, extending the metric on X.

Sign in / Sign up

Export Citation Format

Share Document